A person's actions should (and does, in my opinion) define them. Society does this all the time. A person who breaks the law and commits felonies has the title of felon. A person who does charity work has the title of philanthropist. A person who regularly speeds and does not pay attention to the road is a reckless driver.
One can do many things and thus have many titles, but I fail to see why a person who immigrates illegally should not have the title of illegal immigrant.
One can do many things and thus have many titles, but I fail to see why a person who immigrates illegally should not have the title of illegal immigrant.